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234020232 = 233317101631
BaseRepresentation
bin11011111001011…
…01110110001000
3121022100110102000
431330231312020
5434402121412
635115511000
75541065505
oct1574556610
9538313360
10234020232
11110109956
1266458460
1339639114
142311a4ac
15158294dc
hexdf2dd88

234020232 has 128 divisors (see below), whose sum is σ = 696211200. Its totient is φ = 72576000.

The previous prime is 234020231. The next prime is 234020363. The reversal of 234020232 is 232020432.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (234020231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370557 + ... + 371187.

It is an arithmetic number, because the mean of its divisors is an integer number (5439150).

Almost surely, 2234020232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234020232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348105600).

234020232 is an abundant number, since it is smaller than the sum of its proper divisors (462190968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

234020232 is a wasteful number, since it uses less digits than its factorization.

234020232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 234020232 is about 15297.7198300923. The cubic root of 234020232 is about 616.2417741552.

Adding to 234020232 its reverse (232020432), we get a palindrome (466040664).

The spelling of 234020232 in words is "two hundred thirty-four million, twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 101 102 108 136 153 202 204 216 303 306 404 408 459 606 612 631 808 909 918 1212 1224 1262 1717 1818 1836 1893 2424 2524 2727 3434 3636 3672 3786 5048 5151 5454 5679 6868 7272 7572 10302 10727 10908 11358 13736 15144 15453 17037 20604 21454 21816 22716 30906 32181 34074 41208 42908 45432 46359 61812 63731 64362 68148 85816 92718 96543 123624 127462 128724 136296 185436 191193 193086 254924 257448 289629 370872 382386 386172 509848 573579 579258 764772 772344 1083427 1147158 1158516 1529544 1720737 2166854 2294316 2317032 3250281 3441474 4333708 4588632 6500562 6882948 8667416 9750843 13001124 13765896 19501686 26002248 29252529 39003372 58505058 78006744 117010116 234020232